I know my Knight responded VERY favorably to the shooting of a few dozen patched round balls thru it................ I imagine doing the same with conicals would do the trick as well.
I also use some bore paste in it once or twice a year.....................that keeps it really shooting fresh and accurate.
So I would suggest doing one of the two methods..................using the paste is faster and you still have plenty of paste for later cleanings - but it's hard to beat just plain shooting the iron as much as possible.